On Apr 16, 10:34 am, David Joyner <wdjoy...@gmail.com> wrote:

> I think you meant to say "If the minimum distance is 9, then, I think,
> only vectors with 4
> errors or less can be decoded correctly." I think erasures (where the
> error positions are assumed to be known) are more complicated.
> In the example of the last row, if you erase the first 8 0's then
> the question is are there any other codewords which have
> the same bits in the non-erased positions.

Yes, I meant errors. I didn't even think about the situation where the
positions are known. In this case, the decoding seems to be rather
simple - find 10 other columns with non-zero determinant of the matrix
constructed from them, and use the inverse of this matrix for
decoding.

Alec

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